it seems your daughter is suffering from upper respiratory tract
infection ,if she does not respond by 5th day of antibiotics u have to meet your pediatrician
again ,she/he needs to do proper workout and change of medicines .cervical lymphadenitis
is due to infection of throat and erythema
of palm and sole can be because of fever,or rash due to fever.
well remember to keep your baby well hydrated that is give lot of liquids, avoid juices they will further irritate the throat .give soft diet
at regular intervals ,it will help in speedy recovery
well any other query u are most welcome